Chaos in the classical relativistic mechanics of a damped Duffing-like driven system

W. C. Schieve*, L. P. Horwitz

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We study classically the problem of two relativistic particles with an invariant Duffing-like potential which reduces to the usual Duffing form in the nonrelativistic limit. We demonstrate, by means of computer calculations, the onset of chaos and the existence of a strange attractor and a limiting hyperbolic motion in the presence of driving forces and dissipation. The chaotic behavior of the position variable is reflected in chaos in the time of occurrence of the corresponding events. Thus, spacetime may be chaotic.

Original languageEnglish
Pages (from-to)140-146
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume156
Issue number3-4
DOIs
StatePublished - 10 Jun 1991
Externally publishedYes

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